204240200 has 48 divisors (see below), whose sum is σ = 482671860. Its totient is φ = 80352000.

The previous prime is 204240191. The next prime is 204240221. The reversal of 204240200 is 2042402.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 76143076 + 128097124 = 8726^2 + 11318^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3830 + ... + 20570.

Almost surely, 2^204240200 is an apocalyptic number.

204240200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241335930).

204240200 is an abundant number, since it is smaller than the sum of its proper divisors (278431660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204240200 is a wasteful number, since it uses less digits than its factorization.

204240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16818 (or 16809 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 204240200 is about 14291.2630652437. The cubic root of 204240200 is about 588.9074869856.

Adding to 204240200 its reverse (2042402), we get a palindrome (206282602).

Multiplying 204240200 by its reverse (2042402), we get a square (417140592960400 = 20424020²).

204240200 divided by its reverse (2042402) gives a square (100 = 10²).

The spelling of 204240200 in words is "two hundred four million, two hundred forty thousand, two hundred".